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Simplifying 20x5 + -25x3 + -15x = 0 Reorder the terms: -15x + -25x3 + 20x5 = 0 Solving -15x + -25x3 + 20x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(-3 + -5x2 + 4x4) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-3 + -5x2 + 4x4)' equal to zero and attempt to solve: Simplifying -3 + -5x2 + 4x4 = 0 Solving -3 + -5x2 + 4x4 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -0.75 + -1.25x2 + x4 = 0 Move the constant term to the right: Add '0.75' to each side of the equation. -0.75 + -1.25x2 + 0.75 + x4 = 0 + 0.75 Reorder the terms: -0.75 + 0.75 + -1.25x2 + x4 = 0 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + -1.25x2 + x4 = 0 + 0.75 -1.25x2 + x4 = 0 + 0.75 Combine like terms: 0 + 0.75 = 0.75 -1.25x2 + x4 = 0.75 The x term is -1.25x2. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25x2 + 0.390625 + x4 = 0.75 + 0.390625 Reorder the terms: 0.390625 + -1.25x2 + x4 = 0.75 + 0.390625 Combine like terms: 0.75 + 0.390625 = 1.140625 0.390625 + -1.25x2 + x4 = 1.140625 Factor a perfect square on the left side: (x2 + -0.625)(x2 + -0.625) = 1.140625 Calculate the square root of the right side: 1.068000468 Break this problem into two subproblems by setting (x2 + -0.625) equal to 1.068000468 and -1.068000468.Subproblem 1
x2 + -0.625 = 1.068000468 Simplifying x2 + -0.625 = 1.068000468 Reorder the terms: -0.625 + x2 = 1.068000468 Solving -0.625 + x2 = 1.068000468 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.625' to each side of the equation. -0.625 + 0.625 + x2 = 1.068000468 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + x2 = 1.068000468 + 0.625 x2 = 1.068000468 + 0.625 Combine like terms: 1.068000468 + 0.625 = 1.693000468 x2 = 1.693000468 Simplifying x2 = 1.693000468 Take the square root of each side: x = {-1.301153514, 1.301153514}Subproblem 2
x2 + -0.625 = -1.068000468 Simplifying x2 + -0.625 = -1.068000468 Reorder the terms: -0.625 + x2 = -1.068000468 Solving -0.625 + x2 = -1.068000468 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.625' to each side of the equation. -0.625 + 0.625 + x2 = -1.068000468 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + x2 = -1.068000468 + 0.625 x2 = -1.068000468 + 0.625 Combine like terms: -1.068000468 + 0.625 = -0.443000468 x2 = -0.443000468 Simplifying x2 = -0.443000468 Reorder the terms: 0.443000468 + x2 = -0.443000468 + 0.443000468 Combine like terms: -0.443000468 + 0.443000468 = 0.000000000 0.443000468 + x2 = 0.000000000 The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
| -166=-124x+13y | | 2x-9/3x-21=5/x-7 | | 16x^2-3=78 | | 14-(5x-6)=2(x-5)+3(8-3x) | | 24x=x^2+144 | | 16m^2=64 | | 3x-28=96 | | 228.17x^4-0.00000509x-0.0000114=0 | | (3/7)(3/7)= | | (3/7)()=9 | | 2logx=0.5 | | (3/7)(?)=9 | | F(n)=6/7n-17/7 | | 6X-3=-19+2x | | 4z+4+6z+13+23+5z= | | 5x-8y-x+y= | | 2s-9=-27+5s | | 0.001y+0.002x+0.001z=0.11 | | 2cosx-3=0 | | -3(5y-9)+2(2y+5)= | | solvey=10x^2-94x+3900 | | -5+7y=-30 | | 5x=615.4 | | 4x/a=30/5b | | x^2=60y | | (1/8)(4/7) | | (2/6)^-2 | | (1/8)(3/4) | | 3y+2y-8y= | | (1/8)((3/4) | | 4[m-2]=-2[3m+3] | | 5/98 |